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- Clifford Algebras and Spinor Structures
- Algebras of Electromagnetics
- Clifford Algebras and Their Applications in Mathematical Physics

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You also have the option to opt-out of these cookies. Just a moment while we sign you in to your Goodreads account. There are no discussion topics on this book yet. Pages As K -algebras , they generalize the real numbers , complex numbers , quaternions and several other hypercomplex number systems. Fast and free shipping free returns cash on delivery available on eligible purchase. This second edition of a popular and unique introduction to Clifford algebras and spinors has three new chapters.

An Introduction to Clifford Algebras and Spinors. Oxford University Press, Paperback, pp. Price GBP ISBN Keywords: book review ; Clifford algebra ; spinors.

A historical review of spinors is given together with a construction of spinor spaces as minimal left ideals of Clifford algebras. Spinor spaces of euclidean spaces over reals have a natural linear structure over reals, complex numbers or quaternions. Clifford algebras have involutions which induce bilinear forms or scalar products on spinor spaces. The automorphism groups of these scalar products of spinors are determined and also classified. Unable to display preview.

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Ablamowicz , Pertti Lounesto Published Mathematics. Reading is a hobby to open the knowledge windows.

Cambridge Core - Geometry and Topology - Clifford Algebras and Spinors. Pertti Lounesto, Helsinki Polytechnic. Publisher: Cambridge PDF; Export citation.

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Pertti Lounesto My research focuses on algebras emerging from problems in geometry and physics, called Clifford algebras. In physics, the concept of Clifford algebra, as such or in a disguise, is a necessity in the description of electron spin, because spinors cannot be constructed by tensorial methods, in terms of exterior powers of the vector space. In geometry, information about orientation of subspaces can be encoded in simple multivectors, which can be added and multiplied. Physicists are familiar with this tool in the special case of one-dimensional subspaces, which they manipulate by vectors not by projection operators, which lose information about orientations. I am also interested in misconceptions of research mathematicians , while they enter unexplored domains.

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## Lukas T.

PDF | Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana We proceed to the deﬁnition of a (real) Cliﬀord algebra and will then [L] P. Lounesto, Cliﬀord Algebras and Spinors, Second edition, London.

## Arber L.

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